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In a certain region, electric field E exist along the x-axis which is uniform. Given $A B = 23$ m and $B C = 4$ m. Point A, B and C are in xy plane. Find the potential difference $V_{C} - V_{B}$ between the points C and B :

175006

A

$2 E$

B

$3 E$

C

$- E$

D

$- 2 E$

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Solution

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Correct option is D)

$V_{C} - V_{B} = - E . B C$
$= - E (B C) c o s 6 0^{\circ}$
$= - E (4 \times \frac{1}{2}) = - 2 E$

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